Chapter 1: Functions and Mathematical Models
- dilations, translations, and transformations
- composition of functions
- inverses of functions
- reflections and absolute values
Chapter 2: Periodic Functions and Right Triangle Problems
- periodic functions
- measurements of rotation
- trig functions
- inverse trig functions
Chapter 3: Applications of Trigonometric and Circular Functions
- sinusoids
- amplitudes, period, and cycles
- radians
- circular functions
Chapter 4: Trigonometric Functions, Properties, Identities, and Parametric Functions
- the Pythagorean property
- trig identities
- arcsines, arccosines, and arctangents
- inverse trig relations
Chapter 5: Properties of Combined Sinusoids
- combination of sinusoids
- composition argument properties
- sum and product properties
- double and half argument properties
Chapter 6: Triangle Trigonometry
- oblique triangles
- law of sines and law of cosines
- area of triangles
- vectors
- triangle problems
Chapter 7: Properties of Elementary Functions
- shapes of functions
- graphical patterns
- numerical patterns
- properties of logarithms
- logarithmic functions
- logistic functions for growth
Chapter 8: Fitting Functions to Data
- regression equations
- correlations
- regression for nonlinear data
- residual plots
Chapter 9: Probability and Functions of Random Variability
- principles of probability
- counting principles
- permutations and combinations
- functions of a random variable
- mathematical expectation
Chapter 12: Analytic Geometry of Conic Selections and Quadratic Surfaces
- conic sections
- parametric equations of conics
- analytic geometry
- application of conics
Chapter 13: Polar Coordinates, Complex Numbers, and Moving Objects
- polar coordinates
- polar equations of conics and other curves
- intersection of polar coordinates
- complex numbers in complex form
To go back to the Senior High Math overview, click here.